252880 has 40 divisors (see below), whose sum is σ = 613800. Its totient is φ = 96768.

The previous prime is 252877. The next prime is 252881. The reversal of 252880 is 88252.

It can be written as a sum of positive squares in 4 ways, for example, as 44944 + 207936 = 212^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2266 + ... + 2374.

It is an arithmetic number, because the mean of its divisors is an integer number (15345).

2²⁵²⁸⁸⁰ is an apocalyptic number.

252880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306900).

252880 is an abundant number, since it is smaller than the sum of its proper divisors (360920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252880 is a wasteful number, since it uses less digits than its factorization.

252880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 252880 is about 502.8717530345. The cubic root of 252880 is about 63.2370343215.

The spelling of 252880 in words is "two hundred fifty-two thousand, eight hundred eighty".